{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "1772ee94",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-11T13:42:58.654282Z",
     "start_time": "2024-07-11T13:42:58.650026Z"
    }
   },
   "outputs": [],
   "source": [
    "from module.plot_travel_chain import *\n",
    "import pandas as pd\n",
    "import pickle\n",
    "import numpy as np\n",
    "from collections import Counter\n",
    "from io import BytesIO\n",
    "import imageio\n",
    "import warnings\n",
    "\n",
    "warnings.filterwarnings(\"ignore\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "56954b25",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-11T13:42:59.605452Z",
     "start_time": "2024-07-11T13:42:59.601628Z"
    }
   },
   "outputs": [],
   "source": [
    "FRAME = 100"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "946d56da",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-11T13:43:00.096790Z",
     "start_time": "2024-07-11T13:43:00.088576Z"
    }
   },
   "outputs": [],
   "source": [
    "trip_data_path = \"data/cut_data/4193920/4193920.csv\"\n",
    "column_names = ['id', 'time', 'longitude', 'latitude', 'transport']\n",
    "trip_data = pd.read_csv(trip_data_path, header=None, names=column_names)\n",
    "trip_data['time'] = pd.to_datetime(trip_data['time'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "02c7a45f",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-11T13:43:00.514630Z",
     "start_time": "2024-07-11T13:43:00.506752Z"
    }
   },
   "outputs": [],
   "source": [
    "trip_data.set_index('time', inplace=True)\n",
    "df_resampled = trip_data.resample('30S').ffill()\n",
    "df_resampled.reset_index(inplace=True)\n",
    "draw_data = df_resampled"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "54455146",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-11T13:43:00.926636Z",
     "start_time": "2024-07-11T13:43:00.921021Z"
    }
   },
   "outputs": [],
   "source": [
    "max_lim = draw_data.max(axis=0).iloc[2:4].to_numpy().astype(float) + 0.03\n",
    "min_lim = draw_data.min(axis=0).iloc[2:4].to_numpy().astype(float) - 0.03"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "672e9e45",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2024-07-11T13:43:01.918786Z",
     "start_time": "2024-07-11T13:43:01.304733Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "images = []\n",
    "plt.ioff()\n",
    "for i in np.linspace(0, df_resampled.shape[0] - 2, 10).astype(int) + 1:\n",
    "    temp_data = draw_data.iloc[:i, :]\n",
    "    plot_module = plot_travel_chain_no_osm(temp_data)\n",
    "\n",
    "    fig, ax = plot_module.plot_travel_chain_no_osm(max_lim, min_lim)\n",
    "\n",
    "    buf = BytesIO()\n",
    "    fig.savefig(buf, format='png')\n",
    "    buf.seek(0)\n",
    "    images.append(imageio.imread(buf))\n",
    "imageio.mimsave('dongtu2.gif', images, duration=FRAME, loop=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "e5691666-ebd8-4c32-b3f3-90735e2923f1",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
